A local company produces an erasable programmable read-only memory (EPROM) for severalindustrial clients. It has experienced a relatively flat demand of 2,500 units per year for theproduct. The EPROM is produced at a rate of 10,000 units per year. The accounting departmenthas estimated that it costs $50 to initiate a production run, each unit costs the company $2 tomanufacture, and the cost of holding is based on a 30 percent annual interest rate. Determinethe optimal size of a production run, the length of each production run, and the average annualcost of holding and setup. What is the maximum level of the on-hand inventory of the EPROMs?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A local company produces an erasable programmable read-only memory (EPROM) for several
industrial clients. It has experienced a relatively flat demand of 2,500 units per year for the
product. The EPROM is produced at a rate of 10,000 units per year. The accounting department
has estimated that it costs $50 to initiate a production run, each unit costs the company $2 to
manufacture, and the cost of holding is based on a 30 percent annual interest rate. Determine
the optimal size of a production run, the length of each production run, and the average annual
cost of holding and setup. What is the maximum level of the on-hand inventory of the EPROMs?

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